A^2 + b^2 = c^2....this is the pythagoream theroum (sorry, probably spelled it wrong)....it is used for right triangles.
a and b are ur legs of the triangle and c is the hypotenuse. Therefore, the value of a^2 is the value of one of the legs, squared.
OR. if u mean this..
a^2 + b^2 = c^2
a^2 = c^2 - b^2
So for this problem the equation would be y=15x+1200
x, being the number of hours the store clerk works is 60. You then multiply 15x60 and get 900. 900 hours + 1200 rent is 2100 total. So A. :)
Answer:
11 speakers
Step-by-step explanation:
2 3/4 ÷ 1/4
11/4 ÷ 1/4
11/4 x 4/1 = 44/4 = 11
Answer:
Step-by-step explanation:
To solve this you just do 14 - 52 then you get 38. Make sure to check your work. 38 + 14 = 52.
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
